
This strategy combines a Gaussian Weighted Moving Average Channel with the Stochastic Relative Strength Index (Stochastic RSI) to create a trend-following trading system. The strategy uses Gaussian weighting methods to construct a price channel and combines it with Stochastic RSI crossover signals to determine entry and exit points, effectively capturing trends and confirming momentum. The strategy has a solid mathematical foundation and effectively filters market noise while capturing major trends.
The core logic consists of two main components: 1. Gaussian Channel System: Uses Gaussian Weighted Moving Average (GWMA) and Gaussian Weighted Standard Deviation (GWSD) to construct a price channel. GWMA assigns higher weights to recent data, making the moving average more responsive to price changes. The channel bands are determined by multiplying the GWSD by a factor.
Trading signals are generated based on the following conditions: - Long Entry: Price closes above the upper Gaussian channel band AND Stochastic RSI K-line crosses above D-line - Exit Signal: Price closes below the upper Gaussian channel band
This strategy combines Gaussian channels and Stochastic RSI indicators to build a trend-following system with solid mathematical foundations. The strategy performs excellently in trending markets but requires attention to parameter optimization and market environment adaptability. Through implementing the suggested optimization measures, the strategy’s stability and profitability can be further enhanced.
/*backtest
start: 2024-02-21 00:00:00
end: 2025-02-18 08:00:00
period: 1d
basePeriod: 1d
exchanges: [{"eid":"Binance","currency":"ETH_USDT"}]
*/
//@version=5
strategy("Gaussian Channel + Stoch RSI Strategy", overlay=true, margin_long=100, margin_short=100, initial_capital=100000, commission_type=strategy.commission.percent, commission_value=0.1, default_qty_type=strategy.percent_of_equity, default_qty_value=100, pyramiding=1)
// User Inputs
length = input.int(20, "Gaussian Length", minval=5)
multiplier = input.float(2.0, "Channel Multiplier", step=0.1)
rsiLength = input.int(14, "RSI Length", minval=1)
stochLength= input.int(14, "Stoch RSI Length", minval=1)
kLength = input.int(3, "Stoch K Smoothing", minval=1)
dLength = input.int(3, "Stoch D Smoothing", minval=1)
// Gaussian Weighted Moving Average Function
f_gaussian(source, length) =>
half = (length - 1) / 2.0
sum = 0.0
norm = 0.0
// Gaussian standard deviation chosen as length/6 for a smooth curve
denom = (length / 6.0) * (length / 6.0)
for i = 0 to length - 1
x = i - half
w = math.exp(-(x * x) / (2 * denom))
sum += source[i] * w
norm += w
sum / norm
// Gaussian Weighted Standard Deviation Function
f_gaussian_std(source, length) =>
half = (length - 1) / 2.0
gavg = f_gaussian(source, length)
sum = 0.0
norm = 0.0
denom = (length / 6.0) * (length / 6.0)
for i = 0 to length - 1
x = i - half
w = math.exp(-(x * x)/(2*denom))
diff = source[i] - gavg
sum += diff * diff * w
norm += w
math.sqrt(sum/norm)
// Compute Gaussian Channel
gaussMid = f_gaussian(close, length)
gaussStd = f_gaussian_std(close, length)
gaussUpper = gaussMid + gaussStd * multiplier
gaussLower = gaussMid - gaussStd * multiplier
// Stochastic RSI Calculation
rsi = ta.rsi(close, rsiLength)
rsiLowest = ta.lowest(rsi, stochLength)
rsiHighest = ta.highest(rsi, stochLength)
stoch = 100 * (rsi - rsiLowest) / math.max(rsiHighest - rsiLowest, 1e-10)
k = ta.sma(stoch, kLength)
d = ta.sma(k, dLength)
// Conditions
// Long entry: Price closes above upper Gaussian line AND Stoch RSI K > D (stochastic is "up")
longCondition = close > gaussUpper and k > d
// Exit condition: Price closes below upper Gaussian line
exitCondition = close < gaussUpper
// Only trade in the specified date range
inDateRange = time >= timestamp("2018-01-01T00:00:00") and time < timestamp("2069-01-01T00:00:00")
// Submit Orders
if inDateRange
if longCondition and strategy.position_size <= 0
strategy.entry("Long", strategy.long)
if exitCondition and strategy.position_size > 0
strategy.close("Long")
// Plot Gaussian Channel
plot(gaussMid, "Gaussian Mid", color=color.new(color.yellow, 0))
plot(gaussUpper, "Gaussian Upper", color=color.new(color.green, 0))
plot(gaussLower, "Gaussian Lower", color=color.new(color.red, 0))